Function Graph Selection: Y = X - 8 Relationship Analysis

Since Y is a function of X that matches any value of X a number less than it for 8

Circle the appropriate graph to describe the function

We need to determine which graph represents the function $Y = f(X)$ where $Y$ is strictly less than 8 for all $X$. A key indication is that the function should be a horizontal line or region that does not reach or exceed the line $Y = 8$.

Reviewing the provided options, look for a graph that closely aligns with being constantly below the line $Y = 8$. Given the descriptions, a horizontal line at $Y = 7$ or $Y = 6$ would work since it satisfies the inequality $Y < 8$ regardless of the $X$ values.

Option 4 clear depicts a line where all $Y$-values are indeed less than 8. The graph shows a continuous horizontal segment that stays consistently below 8.

Thus, the graph that correctly describes this function is the one in Choice 4.